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Finding the Third Proportional to 67,118 and 146,860

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Solution

The third proportional to 67,118 and 146,860 is: 321,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,118 : 146,860 = 146,860 : x
  2. Step 2: Convert to fraction form
    67,118/146,860 = 146,860/x
  3. Step 3: Cross multiply
    67,118x = 146,860 × 146,860
  4. Step 4: Simplify right side
    67,118x = 21,567,859,600
  5. Step 5: Solve for x
    x = 21,567,859,600/67,118
  6. Step 6: Final answer
    x = 321,342.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.